" 2."x^(2)(dy/dx)+y=1

For each of the following differential equations verify that the accompanying functions a solution.Differential Function x(dy)/(dx)=yy=axx+y(dy)/(dx)=0y=+-sqrt(a^(2)-x^(2))x(dy)/(dx)y=y^(2)y=(a)/(x+a)x^(3)(d^(2)y)/(dx^(2))=1y=ax+b+(1)/(2x)y=((dy)/(dx))^(2)y=(1)/(4)(x+-a)^(2)

The differential equations, find a particular solution satisfying the given condition: (1+x^2)(dy)/(dx)+2x y=1/(1+x^2); y=0 when x = 1

The differential equations, find a particular solution satisfying the given condition: (1+x^2)(dy)/(dx)+2x y=1/(1+x^2); y=0 when x = 1

The differential equations, find a particular solution satisfying the given condition: (1+x^2)(dy)/(dx)+2x y=1/(1+x^2); y=0 when x" "=" "1

(1+x^(2))(dy)/(dx) = 1-y

Solve each of the following initial value problem: 2x y+y^2-2x^2(dy)/(dx)=0,\ y(1)=2

Solve the following initial value problem: y-x(dy)/(dx)=2(1+x^(2)(dy)/(dx)),y(1)=1

Ify=x log[(ax)^(-1)+a^(-1)], prove that x(x+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=y-1

Find the particular solution of each of the following equations: y-x(dy)/(dx)=2(1+x^(2)(dy)/(dx)) , given y=1, when x=1